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Simplifying -10(r + -6) + 10r = 4(r + -3) Reorder the terms: -10(-6 + r) + 10r = 4(r + -3) (-6 * -10 + r * -10) + 10r = 4(r + -3) (60 + -10r) + 10r = 4(r + -3) Combine like terms: -10r + 10r = 0 60 + 0 = 4(r + -3) 60 = 4(r + -3) Reorder the terms: 60 = 4(-3 + r) 60 = (-3 * 4 + r * 4) 60 = (-12 + 4r) Solving 60 = -12 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 60 + -4r = -12 + 4r + -4r Combine like terms: 4r + -4r = 0 60 + -4r = -12 + 0 60 + -4r = -12 Add '-60' to each side of the equation. 60 + -60 + -4r = -12 + -60 Combine like terms: 60 + -60 = 0 0 + -4r = -12 + -60 -4r = -12 + -60 Combine like terms: -12 + -60 = -72 -4r = -72 Divide each side by '-4'. r = 18 Simplifying r = 18
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