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Simplifying -5 + -5(6 + 4r) = -4r + -21 -5 + (6 * -5 + 4r * -5) = -4r + -21 -5 + (-30 + -20r) = -4r + -21 Combine like terms: -5 + -30 = -35 -35 + -20r = -4r + -21 Reorder the terms: -35 + -20r = -21 + -4r Solving -35 + -20r = -21 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -35 + -20r + 4r = -21 + -4r + 4r Combine like terms: -20r + 4r = -16r -35 + -16r = -21 + -4r + 4r Combine like terms: -4r + 4r = 0 -35 + -16r = -21 + 0 -35 + -16r = -21 Add '35' to each side of the equation. -35 + 35 + -16r = -21 + 35 Combine like terms: -35 + 35 = 0 0 + -16r = -21 + 35 -16r = -21 + 35 Combine like terms: -21 + 35 = 14 -16r = 14 Divide each side by '-16'. r = -0.875 Simplifying r = -0.875
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