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Simplifying 5(r + -1) = 1(r + -4) + -6 Reorder the terms: 5(-1 + r) = 1(r + -4) + -6 (-1 * 5 + r * 5) = 1(r + -4) + -6 (-5 + 5r) = 1(r + -4) + -6 Reorder the terms: -5 + 5r = 1(-4 + r) + -6 -5 + 5r = (-4 * 1 + r * 1) + -6 -5 + 5r = (-4 + 1r) + -6 Reorder the terms: -5 + 5r = -4 + -6 + 1r Combine like terms: -4 + -6 = -10 -5 + 5r = -10 + 1r Solving -5 + 5r = -10 + 1r 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. -5 + 5r + -1r = -10 + 1r + -1r Combine like terms: 5r + -1r = 4r -5 + 4r = -10 + 1r + -1r Combine like terms: 1r + -1r = 0 -5 + 4r = -10 + 0 -5 + 4r = -10 Add '5' to each side of the equation. -5 + 5 + 4r = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 4r = -10 + 5 4r = -10 + 5 Combine like terms: -10 + 5 = -5 4r = -5 Divide each side by '4'. r = -1.25 Simplifying r = -1.25
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