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Simplifying 48 = 6(4r + 7) + -6(1 + 6r) Reorder the terms: 48 = 6(7 + 4r) + -6(1 + 6r) 48 = (7 * 6 + 4r * 6) + -6(1 + 6r) 48 = (42 + 24r) + -6(1 + 6r) 48 = 42 + 24r + (1 * -6 + 6r * -6) 48 = 42 + 24r + (-6 + -36r) Reorder the terms: 48 = 42 + -6 + 24r + -36r Combine like terms: 42 + -6 = 36 48 = 36 + 24r + -36r Combine like terms: 24r + -36r = -12r 48 = 36 + -12r Solving 48 = 36 + -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. 48 + 12r = 36 + -12r + 12r Combine like terms: -12r + 12r = 0 48 + 12r = 36 + 0 48 + 12r = 36 Add '-48' to each side of the equation. 48 + -48 + 12r = 36 + -48 Combine like terms: 48 + -48 = 0 0 + 12r = 36 + -48 12r = 36 + -48 Combine like terms: 36 + -48 = -12 12r = -12 Divide each side by '12'. r = -1 Simplifying r = -1
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