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Simplifying 1 + -7(r + 7) = -90 Reorder the terms: 1 + -7(7 + r) = -90 1 + (7 * -7 + r * -7) = -90 1 + (-49 + -7r) = -90 Combine like terms: 1 + -49 = -48 -48 + -7r = -90 Solving -48 + -7r = -90 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -7r = -90 + 48 Combine like terms: -48 + 48 = 0 0 + -7r = -90 + 48 -7r = -90 + 48 Combine like terms: -90 + 48 = -42 -7r = -42 Divide each side by '-7'. r = 6 Simplifying r = 6
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