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Simplifying 4r + -7(10 + 11r) = -4(7r + -5) 4r + (10 * -7 + 11r * -7) = -4(7r + -5) 4r + (-70 + -77r) = -4(7r + -5) Reorder the terms: -70 + 4r + -77r = -4(7r + -5) Combine like terms: 4r + -77r = -73r -70 + -73r = -4(7r + -5) Reorder the terms: -70 + -73r = -4(-5 + 7r) -70 + -73r = (-5 * -4 + 7r * -4) -70 + -73r = (20 + -28r) Solving -70 + -73r = 20 + -28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '28r' to each side of the equation. -70 + -73r + 28r = 20 + -28r + 28r Combine like terms: -73r + 28r = -45r -70 + -45r = 20 + -28r + 28r Combine like terms: -28r + 28r = 0 -70 + -45r = 20 + 0 -70 + -45r = 20 Add '70' to each side of the equation. -70 + 70 + -45r = 20 + 70 Combine like terms: -70 + 70 = 0 0 + -45r = 20 + 70 -45r = 20 + 70 Combine like terms: 20 + 70 = 90 -45r = 90 Divide each side by '-45'. r = -2 Simplifying r = -2
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