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Simplifying -155 = r + -3(5 + 7r) -155 = r + (5 * -3 + 7r * -3) -155 = r + (-15 + -21r) Reorder the terms: -155 = -15 + r + -21r Combine like terms: r + -21r = -20r -155 = -15 + -20r Solving -155 = -15 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -155 + 20r = -15 + -20r + 20r Combine like terms: -20r + 20r = 0 -155 + 20r = -15 + 0 -155 + 20r = -15 Add '155' to each side of the equation. -155 + 155 + 20r = -15 + 155 Combine like terms: -155 + 155 = 0 0 + 20r = -15 + 155 20r = -15 + 155 Combine like terms: -15 + 155 = 140 20r = 140 Divide each side by '20'. r = 7 Simplifying r = 7
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