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Simplifying -6(2r + 8) = -10(r + -3) Reorder the terms: -6(8 + 2r) = -10(r + -3) (8 * -6 + 2r * -6) = -10(r + -3) (-48 + -12r) = -10(r + -3) Reorder the terms: -48 + -12r = -10(-3 + r) -48 + -12r = (-3 * -10 + r * -10) -48 + -12r = (30 + -10r) Solving -48 + -12r = 30 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -48 + -12r + 10r = 30 + -10r + 10r Combine like terms: -12r + 10r = -2r -48 + -2r = 30 + -10r + 10r Combine like terms: -10r + 10r = 0 -48 + -2r = 30 + 0 -48 + -2r = 30 Add '48' to each side of the equation. -48 + 48 + -2r = 30 + 48 Combine like terms: -48 + 48 = 0 0 + -2r = 30 + 48 -2r = 30 + 48 Combine like terms: 30 + 48 = 78 -2r = 78 Divide each side by '-2'. r = -39 Simplifying r = -39
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