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Simplifying -10(1 + r) + -6r = -4 + -6(r + 6) (1 * -10 + r * -10) + -6r = -4 + -6(r + 6) (-10 + -10r) + -6r = -4 + -6(r + 6) Combine like terms: -10r + -6r = -16r -10 + -16r = -4 + -6(r + 6) Reorder the terms: -10 + -16r = -4 + -6(6 + r) -10 + -16r = -4 + (6 * -6 + r * -6) -10 + -16r = -4 + (-36 + -6r) Combine like terms: -4 + -36 = -40 -10 + -16r = -40 + -6r Solving -10 + -16r = -40 + -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. -10 + -16r + 6r = -40 + -6r + 6r Combine like terms: -16r + 6r = -10r -10 + -10r = -40 + -6r + 6r Combine like terms: -6r + 6r = 0 -10 + -10r = -40 + 0 -10 + -10r = -40 Add '10' to each side of the equation. -10 + 10 + -10r = -40 + 10 Combine like terms: -10 + 10 = 0 0 + -10r = -40 + 10 -10r = -40 + 10 Combine like terms: -40 + 10 = -30 -10r = -30 Divide each side by '-10'. r = 3 Simplifying r = 3
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