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Simplifying 4(r + -5) + 6 = -6(r + 4) Reorder the terms: 4(-5 + r) + 6 = -6(r + 4) (-5 * 4 + r * 4) + 6 = -6(r + 4) (-20 + 4r) + 6 = -6(r + 4) Reorder the terms: -20 + 6 + 4r = -6(r + 4) Combine like terms: -20 + 6 = -14 -14 + 4r = -6(r + 4) Reorder the terms: -14 + 4r = -6(4 + r) -14 + 4r = (4 * -6 + r * -6) -14 + 4r = (-24 + -6r) Solving -14 + 4r = -24 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. -14 + 4r + 6r = -24 + -6r + 6r Combine like terms: 4r + 6r = 10r -14 + 10r = -24 + -6r + 6r Combine like terms: -6r + 6r = 0 -14 + 10r = -24 + 0 -14 + 10r = -24 Add '14' to each side of the equation. -14 + 14 + 10r = -24 + 14 Combine like terms: -14 + 14 = 0 0 + 10r = -24 + 14 10r = -24 + 14 Combine like terms: -24 + 14 = -10 10r = -10 Divide each side by '10'. r = -1 Simplifying r = -1
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