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Simplifying 5(4r + -7) + 4(1 + -1r) = -47 Reorder the terms: 5(-7 + 4r) + 4(1 + -1r) = -47 (-7 * 5 + 4r * 5) + 4(1 + -1r) = -47 (-35 + 20r) + 4(1 + -1r) = -47 -35 + 20r + (1 * 4 + -1r * 4) = -47 -35 + 20r + (4 + -4r) = -47 Reorder the terms: -35 + 4 + 20r + -4r = -47 Combine like terms: -35 + 4 = -31 -31 + 20r + -4r = -47 Combine like terms: 20r + -4r = 16r -31 + 16r = -47 Solving -31 + 16r = -47 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 16r = -47 + 31 Combine like terms: -31 + 31 = 0 0 + 16r = -47 + 31 16r = -47 + 31 Combine like terms: -47 + 31 = -16 16r = -16 Divide each side by '16'. r = -1 Simplifying r = -1
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