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Simplifying -6(r + 8) + -2r = 4(-2r + 6) + 8r Reorder the terms: -6(8 + r) + -2r = 4(-2r + 6) + 8r (8 * -6 + r * -6) + -2r = 4(-2r + 6) + 8r (-48 + -6r) + -2r = 4(-2r + 6) + 8r Combine like terms: -6r + -2r = -8r -48 + -8r = 4(-2r + 6) + 8r Reorder the terms: -48 + -8r = 4(6 + -2r) + 8r -48 + -8r = (6 * 4 + -2r * 4) + 8r -48 + -8r = (24 + -8r) + 8r Combine like terms: -8r + 8r = 0 -48 + -8r = 24 + 0 -48 + -8r = 24 Solving -48 + -8r = 24 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -8r = 24 + 48 Combine like terms: -48 + 48 = 0 0 + -8r = 24 + 48 -8r = 24 + 48 Combine like terms: 24 + 48 = 72 -8r = 72 Divide each side by '-8'. r = -9 Simplifying r = -9
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