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Simplifying -38 + -4r = -4(8r + -5) + -2 Reorder the terms: -38 + -4r = -4(-5 + 8r) + -2 -38 + -4r = (-5 * -4 + 8r * -4) + -2 -38 + -4r = (20 + -32r) + -2 Reorder the terms: -38 + -4r = 20 + -2 + -32r Combine like terms: 20 + -2 = 18 -38 + -4r = 18 + -32r Solving -38 + -4r = 18 + -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 + -4r + 32r = 18 + -32r + 32r Combine like terms: -4r + 32r = 28r -38 + 28r = 18 + -32r + 32r Combine like terms: -32r + 32r = 0 -38 + 28r = 18 + 0 -38 + 28r = 18 Add '38' to each side of the equation. -38 + 38 + 28r = 18 + 38 Combine like terms: -38 + 38 = 0 0 + 28r = 18 + 38 28r = 18 + 38 Combine like terms: 18 + 38 = 56 28r = 56 Divide each side by '28'. r = 2 Simplifying r = 2
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