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Simplifying 7(-20r + -12) + -16r = -3(5r + -19) Reorder the terms: 7(-12 + -20r) + -16r = -3(5r + -19) (-12 * 7 + -20r * 7) + -16r = -3(5r + -19) (-84 + -140r) + -16r = -3(5r + -19) Combine like terms: -140r + -16r = -156r -84 + -156r = -3(5r + -19) Reorder the terms: -84 + -156r = -3(-19 + 5r) -84 + -156r = (-19 * -3 + 5r * -3) -84 + -156r = (57 + -15r) Solving -84 + -156r = 57 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -84 + -156r + 15r = 57 + -15r + 15r Combine like terms: -156r + 15r = -141r -84 + -141r = 57 + -15r + 15r Combine like terms: -15r + 15r = 0 -84 + -141r = 57 + 0 -84 + -141r = 57 Add '84' to each side of the equation. -84 + 84 + -141r = 57 + 84 Combine like terms: -84 + 84 = 0 0 + -141r = 57 + 84 -141r = 57 + 84 Combine like terms: 57 + 84 = 141 -141r = 141 Divide each side by '-141'. r = -1 Simplifying r = -1
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