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Simplifying 17b + 8 = 7(-4b + 14) Reorder the terms: 8 + 17b = 7(-4b + 14) Reorder the terms: 8 + 17b = 7(14 + -4b) 8 + 17b = (14 * 7 + -4b * 7) 8 + 17b = (98 + -28b) Solving 8 + 17b = 98 + -28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28b' to each side of the equation. 8 + 17b + 28b = 98 + -28b + 28b Combine like terms: 17b + 28b = 45b 8 + 45b = 98 + -28b + 28b Combine like terms: -28b + 28b = 0 8 + 45b = 98 + 0 8 + 45b = 98 Add '-8' to each side of the equation. 8 + -8 + 45b = 98 + -8 Combine like terms: 8 + -8 = 0 0 + 45b = 98 + -8 45b = 98 + -8 Combine like terms: 98 + -8 = 90 45b = 90 Divide each side by '45'. b = 2 Simplifying b = 2
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