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Simplifying 4(-6 + -4r) + 4r = 5 + 5(-3 + -2r) (-6 * 4 + -4r * 4) + 4r = 5 + 5(-3 + -2r) (-24 + -16r) + 4r = 5 + 5(-3 + -2r) Combine like terms: -16r + 4r = -12r -24 + -12r = 5 + 5(-3 + -2r) -24 + -12r = 5 + (-3 * 5 + -2r * 5) -24 + -12r = 5 + (-15 + -10r) Combine like terms: 5 + -15 = -10 -24 + -12r = -10 + -10r Solving -24 + -12r = -10 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -24 + -12r + 10r = -10 + -10r + 10r Combine like terms: -12r + 10r = -2r -24 + -2r = -10 + -10r + 10r Combine like terms: -10r + 10r = 0 -24 + -2r = -10 + 0 -24 + -2r = -10 Add '24' to each side of the equation. -24 + 24 + -2r = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -2r = -10 + 24 -2r = -10 + 24 Combine like terms: -10 + 24 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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