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Simplifying -38 + 8r = 1 + -3(3r + -4) Reorder the terms: -38 + 8r = 1 + -3(-4 + 3r) -38 + 8r = 1 + (-4 * -3 + 3r * -3) -38 + 8r = 1 + (12 + -9r) Combine like terms: 1 + 12 = 13 -38 + 8r = 13 + -9r Solving -38 + 8r = 13 + -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. -38 + 8r + 9r = 13 + -9r + 9r Combine like terms: 8r + 9r = 17r -38 + 17r = 13 + -9r + 9r Combine like terms: -9r + 9r = 0 -38 + 17r = 13 + 0 -38 + 17r = 13 Add '38' to each side of the equation. -38 + 38 + 17r = 13 + 38 Combine like terms: -38 + 38 = 0 0 + 17r = 13 + 38 17r = 13 + 38 Combine like terms: 13 + 38 = 51 17r = 51 Divide each side by '17'. r = 3 Simplifying r = 3
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