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Simplifying 38 + 10 = 8(-6 + -2r) Combine like terms: 38 + 10 = 48 48 = 8(-6 + -2r) 48 = (-6 * 8 + -2r * 8) 48 = (-48 + -16r) Solving 48 = -48 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 48 + 16r = -48 + -16r + 16r Combine like terms: -16r + 16r = 0 48 + 16r = -48 + 0 48 + 16r = -48 Add '-48' to each side of the equation. 48 + -48 + 16r = -48 + -48 Combine like terms: 48 + -48 = 0 0 + 16r = -48 + -48 16r = -48 + -48 Combine like terms: -48 + -48 = -96 16r = -96 Divide each side by '16'. r = -6 Simplifying r = -6
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