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Simplifying 13r + -4(r + 4) = 3(4r + -3) + -16 Reorder the terms: 13r + -4(4 + r) = 3(4r + -3) + -16 13r + (4 * -4 + r * -4) = 3(4r + -3) + -16 13r + (-16 + -4r) = 3(4r + -3) + -16 Reorder the terms: -16 + 13r + -4r = 3(4r + -3) + -16 Combine like terms: 13r + -4r = 9r -16 + 9r = 3(4r + -3) + -16 Reorder the terms: -16 + 9r = 3(-3 + 4r) + -16 -16 + 9r = (-3 * 3 + 4r * 3) + -16 -16 + 9r = (-9 + 12r) + -16 Reorder the terms: -16 + 9r = -9 + -16 + 12r Combine like terms: -9 + -16 = -25 -16 + 9r = -25 + 12r Solving -16 + 9r = -25 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -16 + 9r + -12r = -25 + 12r + -12r Combine like terms: 9r + -12r = -3r -16 + -3r = -25 + 12r + -12r Combine like terms: 12r + -12r = 0 -16 + -3r = -25 + 0 -16 + -3r = -25 Add '16' to each side of the equation. -16 + 16 + -3r = -25 + 16 Combine like terms: -16 + 16 = 0 0 + -3r = -25 + 16 -3r = -25 + 16 Combine like terms: -25 + 16 = -9 -3r = -9 Divide each side by '-3'. r = 3 Simplifying r = 3
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