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Simplifying 4(3r + 12) = 6(4r + -12) Reorder the terms: 4(12 + 3r) = 6(4r + -12) (12 * 4 + 3r * 4) = 6(4r + -12) (48 + 12r) = 6(4r + -12) Reorder the terms: 48 + 12r = 6(-12 + 4r) 48 + 12r = (-12 * 6 + 4r * 6) 48 + 12r = (-72 + 24r) Solving 48 + 12r = -72 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 48 + 12r + -24r = -72 + 24r + -24r Combine like terms: 12r + -24r = -12r 48 + -12r = -72 + 24r + -24r Combine like terms: 24r + -24r = 0 48 + -12r = -72 + 0 48 + -12r = -72 Add '-48' to each side of the equation. 48 + -48 + -12r = -72 + -48 Combine like terms: 48 + -48 = 0 0 + -12r = -72 + -48 -12r = -72 + -48 Combine like terms: -72 + -48 = -120 -12r = -120 Divide each side by '-12'. r = 10 Simplifying r = 10
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