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Simplifying -4 + 5r = 6(r + -1) Reorder the terms: -4 + 5r = 6(-1 + r) -4 + 5r = (-1 * 6 + r * 6) -4 + 5r = (-6 + 6r) Solving -4 + 5r = -6 + 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. -4 + 5r + -6r = -6 + 6r + -6r Combine like terms: 5r + -6r = -1r -4 + -1r = -6 + 6r + -6r Combine like terms: 6r + -6r = 0 -4 + -1r = -6 + 0 -4 + -1r = -6 Add '4' to each side of the equation. -4 + 4 + -1r = -6 + 4 Combine like terms: -4 + 4 = 0 0 + -1r = -6 + 4 -1r = -6 + 4 Combine like terms: -6 + 4 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2
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