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Simplifying -4r + -30 = -6(-8 + 5r) Reorder the terms: -30 + -4r = -6(-8 + 5r) -30 + -4r = (-8 * -6 + 5r * -6) -30 + -4r = (48 + -30r) Solving -30 + -4r = 48 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. -30 + -4r + 30r = 48 + -30r + 30r Combine like terms: -4r + 30r = 26r -30 + 26r = 48 + -30r + 30r Combine like terms: -30r + 30r = 0 -30 + 26r = 48 + 0 -30 + 26r = 48 Add '30' to each side of the equation. -30 + 30 + 26r = 48 + 30 Combine like terms: -30 + 30 = 0 0 + 26r = 48 + 30 26r = 48 + 30 Combine like terms: 48 + 30 = 78 26r = 78 Divide each side by '26'. r = 3 Simplifying r = 3
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