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Simplifying 7(-20 + -11r) = 10 + -19(r + 14) (-20 * 7 + -11r * 7) = 10 + -19(r + 14) (-140 + -77r) = 10 + -19(r + 14) Reorder the terms: -140 + -77r = 10 + -19(14 + r) -140 + -77r = 10 + (14 * -19 + r * -19) -140 + -77r = 10 + (-266 + -19r) Combine like terms: 10 + -266 = -256 -140 + -77r = -256 + -19r Solving -140 + -77r = -256 + -19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19r' to each side of the equation. -140 + -77r + 19r = -256 + -19r + 19r Combine like terms: -77r + 19r = -58r -140 + -58r = -256 + -19r + 19r Combine like terms: -19r + 19r = 0 -140 + -58r = -256 + 0 -140 + -58r = -256 Add '140' to each side of the equation. -140 + 140 + -58r = -256 + 140 Combine like terms: -140 + 140 = 0 0 + -58r = -256 + 140 -58r = -256 + 140 Combine like terms: -256 + 140 = -116 -58r = -116 Divide each side by '-58'. r = 2 Simplifying r = 2
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