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Simplifying -6 + -6(4r + 7) = 12 + -4r Reorder the terms: -6 + -6(7 + 4r) = 12 + -4r -6 + (7 * -6 + 4r * -6) = 12 + -4r -6 + (-42 + -24r) = 12 + -4r Combine like terms: -6 + -42 = -48 -48 + -24r = 12 + -4r Solving -48 + -24r = 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. -48 + -24r + 4r = 12 + -4r + 4r Combine like terms: -24r + 4r = -20r -48 + -20r = 12 + -4r + 4r Combine like terms: -4r + 4r = 0 -48 + -20r = 12 + 0 -48 + -20r = 12 Add '48' to each side of the equation. -48 + 48 + -20r = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -20r = 12 + 48 -20r = 12 + 48 Combine like terms: 12 + 48 = 60 -20r = 60 Divide each side by '-20'. r = -3 Simplifying r = -3
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