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Simplifying -6(2r + 8) = -10 + (r + -10) Reorder the terms: -6(8 + 2r) = -10 + (r + -10) (8 * -6 + 2r * -6) = -10 + (r + -10) (-48 + -12r) = -10 + (r + -10) Reorder the terms: -48 + -12r = -10 + (-10 + r) Remove parenthesis around (-10 + r) -48 + -12r = -10 + -10 + r Combine like terms: -10 + -10 = -20 -48 + -12r = -20 + r Solving -48 + -12r = -20 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -48 + -12r + -1r = -20 + r + -1r Combine like terms: -12r + -1r = -13r -48 + -13r = -20 + r + -1r Combine like terms: r + -1r = 0 -48 + -13r = -20 + 0 -48 + -13r = -20 Add '48' to each side of the equation. -48 + 48 + -13r = -20 + 48 Combine like terms: -48 + 48 = 0 0 + -13r = -20 + 48 -13r = -20 + 48 Combine like terms: -20 + 48 = 28 -13r = 28 Divide each side by '-13'. r = -2.153846154 Simplifying r = -2.153846154
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