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Simplifying 34 + r = 4(8r + -7) Reorder the terms: 34 + r = 4(-7 + 8r) 34 + r = (-7 * 4 + 8r * 4) 34 + r = (-28 + 32r) Solving 34 + r = -28 + 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. 34 + r + -32r = -28 + 32r + -32r Combine like terms: r + -32r = -31r 34 + -31r = -28 + 32r + -32r Combine like terms: 32r + -32r = 0 34 + -31r = -28 + 0 34 + -31r = -28 Add '-34' to each side of the equation. 34 + -34 + -31r = -28 + -34 Combine like terms: 34 + -34 = 0 0 + -31r = -28 + -34 -31r = -28 + -34 Combine like terms: -28 + -34 = -62 -31r = -62 Divide each side by '-31'. r = 2 Simplifying r = 2
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