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Simplifying 5(r + -1) = 21(r + -4) + -6 Reorder the terms: 5(-1 + r) = 21(r + -4) + -6 (-1 * 5 + r * 5) = 21(r + -4) + -6 (-5 + 5r) = 21(r + -4) + -6 Reorder the terms: -5 + 5r = 21(-4 + r) + -6 -5 + 5r = (-4 * 21 + r * 21) + -6 -5 + 5r = (-84 + 21r) + -6 Reorder the terms: -5 + 5r = -84 + -6 + 21r Combine like terms: -84 + -6 = -90 -5 + 5r = -90 + 21r Solving -5 + 5r = -90 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -5 + 5r + -21r = -90 + 21r + -21r Combine like terms: 5r + -21r = -16r -5 + -16r = -90 + 21r + -21r Combine like terms: 21r + -21r = 0 -5 + -16r = -90 + 0 -5 + -16r = -90 Add '5' to each side of the equation. -5 + 5 + -16r = -90 + 5 Combine like terms: -5 + 5 = 0 0 + -16r = -90 + 5 -16r = -90 + 5 Combine like terms: -90 + 5 = -85 -16r = -85 Divide each side by '-16'. r = 5.3125 Simplifying r = 5.3125
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