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Simplifying -8(r + -6) = 10(-2r + 6) Reorder the terms: -8(-6 + r) = 10(-2r + 6) (-6 * -8 + r * -8) = 10(-2r + 6) (48 + -8r) = 10(-2r + 6) Reorder the terms: 48 + -8r = 10(6 + -2r) 48 + -8r = (6 * 10 + -2r * 10) 48 + -8r = (60 + -20r) Solving 48 + -8r = 60 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. 48 + -8r + 20r = 60 + -20r + 20r Combine like terms: -8r + 20r = 12r 48 + 12r = 60 + -20r + 20r Combine like terms: -20r + 20r = 0 48 + 12r = 60 + 0 48 + 12r = 60 Add '-48' to each side of the equation. 48 + -48 + 12r = 60 + -48 Combine like terms: 48 + -48 = 0 0 + 12r = 60 + -48 12r = 60 + -48 Combine like terms: 60 + -48 = 12 12r = 12 Divide each side by '12'. r = 1 Simplifying r = 1
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