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Simplifying -7r + 3(r + -5) = 1 Reorder the terms: -7r + 3(-5 + r) = 1 -7r + (-5 * 3 + r * 3) = 1 -7r + (-15 + 3r) = 1 Reorder the terms: -15 + -7r + 3r = 1 Combine like terms: -7r + 3r = -4r -15 + -4r = 1 Solving -15 + -4r = 1 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4r = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -4r = 1 + 15 -4r = 1 + 15 Combine like terms: 1 + 15 = 16 -4r = 16 Divide each side by '-4'. r = -4 Simplifying r = -4
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