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Simplifying -38 + -2r = -4(8r + 2) Reorder the terms: -38 + -2r = -4(2 + 8r) -38 + -2r = (2 * -4 + 8r * -4) -38 + -2r = (-8 + -32r) Solving -38 + -2r = -8 + -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. -38 + -2r + 32r = -8 + -32r + 32r Combine like terms: -2r + 32r = 30r -38 + 30r = -8 + -32r + 32r Combine like terms: -32r + 32r = 0 -38 + 30r = -8 + 0 -38 + 30r = -8 Add '38' to each side of the equation. -38 + 38 + 30r = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 30r = -8 + 38 30r = -8 + 38 Combine like terms: -8 + 38 = 30 30r = 30 Divide each side by '30'. r = 1 Simplifying r = 1
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