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Simplifying -38 + 8r = -2 + 5(2r + -4) Reorder the terms: -38 + 8r = -2 + 5(-4 + 2r) -38 + 8r = -2 + (-4 * 5 + 2r * 5) -38 + 8r = -2 + (-20 + 10r) Combine like terms: -2 + -20 = -22 -38 + 8r = -22 + 10r Solving -38 + 8r = -22 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. -38 + 8r + -10r = -22 + 10r + -10r Combine like terms: 8r + -10r = -2r -38 + -2r = -22 + 10r + -10r Combine like terms: 10r + -10r = 0 -38 + -2r = -22 + 0 -38 + -2r = -22 Add '38' to each side of the equation. -38 + 38 + -2r = -22 + 38 Combine like terms: -38 + 38 = 0 0 + -2r = -22 + 38 -2r = -22 + 38 Combine like terms: -22 + 38 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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