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Simplifying -4(4 + -1r) = -6(6r + -4) (4 * -4 + -1r * -4) = -6(6r + -4) (-16 + 4r) = -6(6r + -4) Reorder the terms: -16 + 4r = -6(-4 + 6r) -16 + 4r = (-4 * -6 + 6r * -6) -16 + 4r = (24 + -36r) Solving -16 + 4r = 24 + -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. -16 + 4r + 36r = 24 + -36r + 36r Combine like terms: 4r + 36r = 40r -16 + 40r = 24 + -36r + 36r Combine like terms: -36r + 36r = 0 -16 + 40r = 24 + 0 -16 + 40r = 24 Add '16' to each side of the equation. -16 + 16 + 40r = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 40r = 24 + 16 40r = 24 + 16 Combine like terms: 24 + 16 = 40 40r = 40 Divide each side by '40'. r = 1 Simplifying r = 1
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