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Simplifying -6(r + 8) = -8(r + -3) Reorder the terms: -6(8 + r) = -8(r + -3) (8 * -6 + r * -6) = -8(r + -3) (-48 + -6r) = -8(r + -3) Reorder the terms: -48 + -6r = -8(-3 + r) -48 + -6r = (-3 * -8 + r * -8) -48 + -6r = (24 + -8r) Solving -48 + -6r = 24 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -48 + -6r + 8r = 24 + -8r + 8r Combine like terms: -6r + 8r = 2r -48 + 2r = 24 + -8r + 8r Combine like terms: -8r + 8r = 0 -48 + 2r = 24 + 0 -48 + 2r = 24 Add '48' to each side of the equation. -48 + 48 + 2r = 24 + 48 Combine like terms: -48 + 48 = 0 0 + 2r = 24 + 48 2r = 24 + 48 Combine like terms: 24 + 48 = 72 2r = 72 Divide each side by '2'. r = 36 Simplifying r = 36
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