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Simplifying -18 + 4r = 7(6r + -8) Reorder the terms: -18 + 4r = 7(-8 + 6r) -18 + 4r = (-8 * 7 + 6r * 7) -18 + 4r = (-56 + 42r) Solving -18 + 4r = -56 + 42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42r' to each side of the equation. -18 + 4r + -42r = -56 + 42r + -42r Combine like terms: 4r + -42r = -38r -18 + -38r = -56 + 42r + -42r Combine like terms: 42r + -42r = 0 -18 + -38r = -56 + 0 -18 + -38r = -56 Add '18' to each side of the equation. -18 + 18 + -38r = -56 + 18 Combine like terms: -18 + 18 = 0 0 + -38r = -56 + 18 -38r = -56 + 18 Combine like terms: -56 + 18 = -38 -38r = -38 Divide each side by '-38'. r = 1 Simplifying r = 1
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