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Simplifying -5r + -7 = -4(6r + -3) Reorder the terms: -7 + -5r = -4(6r + -3) Reorder the terms: -7 + -5r = -4(-3 + 6r) -7 + -5r = (-3 * -4 + 6r * -4) -7 + -5r = (12 + -24r) Solving -7 + -5r = 12 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -7 + -5r + 24r = 12 + -24r + 24r Combine like terms: -5r + 24r = 19r -7 + 19r = 12 + -24r + 24r Combine like terms: -24r + 24r = 0 -7 + 19r = 12 + 0 -7 + 19r = 12 Add '7' to each side of the equation. -7 + 7 + 19r = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 19r = 12 + 7 19r = 12 + 7 Combine like terms: 12 + 7 = 19 19r = 19 Divide each side by '19'. r = 1 Simplifying r = 1
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