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Simplifying -38 + 8r = -1r + 8(3r + -1) Reorder the terms: -38 + 8r = -1r + 8(-1 + 3r) -38 + 8r = -1r + (-1 * 8 + 3r * 8) -38 + 8r = -1r + (-8 + 24r) Reorder the terms: -38 + 8r = -8 + -1r + 24r Combine like terms: -1r + 24r = 23r -38 + 8r = -8 + 23r Solving -38 + 8r = -8 + 23r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-23r' to each side of the equation. -38 + 8r + -23r = -8 + 23r + -23r Combine like terms: 8r + -23r = -15r -38 + -15r = -8 + 23r + -23r Combine like terms: 23r + -23r = 0 -38 + -15r = -8 + 0 -38 + -15r = -8 Add '38' to each side of the equation. -38 + 38 + -15r = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -15r = -8 + 38 -15r = -8 + 38 Combine like terms: -8 + 38 = 30 -15r = 30 Divide each side by '-15'. r = -2 Simplifying r = -2
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