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Simplifying -111 = 1 + 4(4r + -4) Reorder the terms: -111 = 1 + 4(-4 + 4r) -111 = 1 + (-4 * 4 + 4r * 4) -111 = 1 + (-16 + 16r) Combine like terms: 1 + -16 = -15 -111 = -15 + 16r Solving -111 = -15 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. -111 + -16r = -15 + 16r + -16r Combine like terms: 16r + -16r = 0 -111 + -16r = -15 + 0 -111 + -16r = -15 Add '111' to each side of the equation. -111 + 111 + -16r = -15 + 111 Combine like terms: -111 + 111 = 0 0 + -16r = -15 + 111 -16r = -15 + 111 Combine like terms: -15 + 111 = 96 -16r = 96 Divide each side by '-16'. r = -6 Simplifying r = -6
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