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Simplifying 7(2r + -5) = 3(-2r + -5) Reorder the terms: 7(-5 + 2r) = 3(-2r + -5) (-5 * 7 + 2r * 7) = 3(-2r + -5) (-35 + 14r) = 3(-2r + -5) Reorder the terms: -35 + 14r = 3(-5 + -2r) -35 + 14r = (-5 * 3 + -2r * 3) -35 + 14r = (-15 + -6r) Solving -35 + 14r = -15 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -35 + 14r + 6r = -15 + -6r + 6r Combine like terms: 14r + 6r = 20r -35 + 20r = -15 + -6r + 6r Combine like terms: -6r + 6r = 0 -35 + 20r = -15 + 0 -35 + 20r = -15 Add '35' to each side of the equation. -35 + 35 + 20r = -15 + 35 Combine like terms: -35 + 35 = 0 0 + 20r = -15 + 35 20r = -15 + 35 Combine like terms: -15 + 35 = 20 20r = 20 Divide each side by '20'. r = 1 Simplifying r = 1
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