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Simplifying 5r + -1 = -3(-4 + 3r) + r Reorder the terms: -1 + 5r = -3(-4 + 3r) + r -1 + 5r = (-4 * -3 + 3r * -3) + r -1 + 5r = (12 + -9r) + r Combine like terms: -9r + r = -8r -1 + 5r = 12 + -8r Solving -1 + 5r = 12 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -1 + 5r + 8r = 12 + -8r + 8r Combine like terms: 5r + 8r = 13r -1 + 13r = 12 + -8r + 8r Combine like terms: -8r + 8r = 0 -1 + 13r = 12 + 0 -1 + 13r = 12 Add '1' to each side of the equation. -1 + 1 + 13r = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 13r = 12 + 1 13r = 12 + 1 Combine like terms: 12 + 1 = 13 13r = 13 Divide each side by '13'. r = 1 Simplifying r = 1
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