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Simplifying 8(4 + -2r) = -6r + -38 (4 * 8 + -2r * 8) = -6r + -38 (32 + -16r) = -6r + -38 Reorder the terms: 32 + -16r = -38 + -6r Solving 32 + -16r = -38 + -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. 32 + -16r + 6r = -38 + -6r + 6r Combine like terms: -16r + 6r = -10r 32 + -10r = -38 + -6r + 6r Combine like terms: -6r + 6r = 0 32 + -10r = -38 + 0 32 + -10r = -38 Add '-32' to each side of the equation. 32 + -32 + -10r = -38 + -32 Combine like terms: 32 + -32 = 0 0 + -10r = -38 + -32 -10r = -38 + -32 Combine like terms: -38 + -32 = -70 -10r = -70 Divide each side by '-10'. r = 7 Simplifying r = 7
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