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Simplifying 10r + -2(r + 3) = 4(3r + -3) + -10 Reorder the terms: 10r + -2(3 + r) = 4(3r + -3) + -10 10r + (3 * -2 + r * -2) = 4(3r + -3) + -10 10r + (-6 + -2r) = 4(3r + -3) + -10 Reorder the terms: -6 + 10r + -2r = 4(3r + -3) + -10 Combine like terms: 10r + -2r = 8r -6 + 8r = 4(3r + -3) + -10 Reorder the terms: -6 + 8r = 4(-3 + 3r) + -10 -6 + 8r = (-3 * 4 + 3r * 4) + -10 -6 + 8r = (-12 + 12r) + -10 Reorder the terms: -6 + 8r = -12 + -10 + 12r Combine like terms: -12 + -10 = -22 -6 + 8r = -22 + 12r Solving -6 + 8r = -22 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -6 + 8r + -12r = -22 + 12r + -12r Combine like terms: 8r + -12r = -4r -6 + -4r = -22 + 12r + -12r Combine like terms: 12r + -12r = 0 -6 + -4r = -22 + 0 -6 + -4r = -22 Add '6' to each side of the equation. -6 + 6 + -4r = -22 + 6 Combine like terms: -6 + 6 = 0 0 + -4r = -22 + 6 -4r = -22 + 6 Combine like terms: -22 + 6 = -16 -4r = -16 Divide each side by '-4'. r = 4 Simplifying r = 4
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