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Simplifying -3(r + 6) = -3(-4 + -4r) Reorder the terms: -3(6 + r) = -3(-4 + -4r) (6 * -3 + r * -3) = -3(-4 + -4r) (-18 + -3r) = -3(-4 + -4r) -18 + -3r = (-4 * -3 + -4r * -3) -18 + -3r = (12 + 12r) Solving -18 + -3r = 12 + 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. -18 + -3r + -12r = 12 + 12r + -12r Combine like terms: -3r + -12r = -15r -18 + -15r = 12 + 12r + -12r Combine like terms: 12r + -12r = 0 -18 + -15r = 12 + 0 -18 + -15r = 12 Add '18' to each side of the equation. -18 + 18 + -15r = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -15r = 12 + 18 -15r = 12 + 18 Combine like terms: 12 + 18 = 30 -15r = 30 Divide each side by '-15'. r = -2 Simplifying r = -2
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