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Simplifying 93 = 5 + -2(-7r + 5) Reorder the terms: 93 = 5 + -2(5 + -7r) 93 = 5 + (5 * -2 + -7r * -2) 93 = 5 + (-10 + 14r) Combine like terms: 5 + -10 = -5 93 = -5 + 14r Solving 93 = -5 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. 93 + -14r = -5 + 14r + -14r Combine like terms: 14r + -14r = 0 93 + -14r = -5 + 0 93 + -14r = -5 Add '-93' to each side of the equation. 93 + -93 + -14r = -5 + -93 Combine like terms: 93 + -93 = 0 0 + -14r = -5 + -93 -14r = -5 + -93 Combine like terms: -5 + -93 = -98 -14r = -98 Divide each side by '-14'. r = 7 Simplifying r = 7
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