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Simplifying 5(20k + 11) + 13 = -6(-19k + 19) Reorder the terms: 5(11 + 20k) + 13 = -6(-19k + 19) (11 * 5 + 20k * 5) + 13 = -6(-19k + 19) (55 + 100k) + 13 = -6(-19k + 19) Reorder the terms: 55 + 13 + 100k = -6(-19k + 19) Combine like terms: 55 + 13 = 68 68 + 100k = -6(-19k + 19) Reorder the terms: 68 + 100k = -6(19 + -19k) 68 + 100k = (19 * -6 + -19k * -6) 68 + 100k = (-114 + 114k) Solving 68 + 100k = -114 + 114k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-114k' to each side of the equation. 68 + 100k + -114k = -114 + 114k + -114k Combine like terms: 100k + -114k = -14k 68 + -14k = -114 + 114k + -114k Combine like terms: 114k + -114k = 0 68 + -14k = -114 + 0 68 + -14k = -114 Add '-68' to each side of the equation. 68 + -68 + -14k = -114 + -68 Combine like terms: 68 + -68 = 0 0 + -14k = -114 + -68 -14k = -114 + -68 Combine like terms: -114 + -68 = -182 -14k = -182 Divide each side by '-14'. k = 13 Simplifying k = 13
| 16+a=-2 | | .11x^2-4=0 | | 6=2h-4 | | 9b+(-11)=61 | | 5(4v-6)=10v | | X+(-7)=14 | | 2x-8y=16 | | 3(2x-7)+6=12x | | 9.98+12.7g+16.27=10.3g-18.15 | | 7a-5=2a-20 | | 3(6+a)=30 | | 5(x-2)+4=x+9-2x | | 5m-1=-4+8m | | 9x^4-20x^2+4=0 | | 9x-2=79 | | -23y=23 | | 17.22+2t=-0.1t | | y^2+16y=2 | | -23y=-23 | | 3+4y=10 | | 1.51-7.7f=-6.9f+12.71 | | 3x+83=104 | | 7(3x-1)-5x=3-2(5-8x) | | 90=(3x+70)+(x+20) | | 8-2(x+3)=24-(x-6) | | 1+5p-2p=-14 | | (10-3)(-5)= | | 13.18+11.2r=-10.47+6.9r | | x^2-4x+57=-5 | | 4a-13=19 | | 56=7t | | -6-7x=13 |