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Simplifying -38 + -6r = 4(r + 3) Reorder the terms: -38 + -6r = 4(3 + r) -38 + -6r = (3 * 4 + r * 4) -38 + -6r = (12 + 4r) Solving -38 + -6r = 12 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -38 + -6r + -4r = 12 + 4r + -4r Combine like terms: -6r + -4r = -10r -38 + -10r = 12 + 4r + -4r Combine like terms: 4r + -4r = 0 -38 + -10r = 12 + 0 -38 + -10r = 12 Add '38' to each side of the equation. -38 + 38 + -10r = 12 + 38 Combine like terms: -38 + 38 = 0 0 + -10r = 12 + 38 -10r = 12 + 38 Combine like terms: 12 + 38 = 50 -10r = 50 Divide each side by '-10'. r = -5 Simplifying r = -5
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