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Simplifying -13 + -19(b + -17) = -18(b + -16) + -14 Reorder the terms: -13 + -19(-17 + b) = -18(b + -16) + -14 -13 + (-17 * -19 + b * -19) = -18(b + -16) + -14 -13 + (323 + -19b) = -18(b + -16) + -14 Combine like terms: -13 + 323 = 310 310 + -19b = -18(b + -16) + -14 Reorder the terms: 310 + -19b = -18(-16 + b) + -14 310 + -19b = (-16 * -18 + b * -18) + -14 310 + -19b = (288 + -18b) + -14 Reorder the terms: 310 + -19b = 288 + -14 + -18b Combine like terms: 288 + -14 = 274 310 + -19b = 274 + -18b Solving 310 + -19b = 274 + -18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18b' to each side of the equation. 310 + -19b + 18b = 274 + -18b + 18b Combine like terms: -19b + 18b = -1b 310 + -1b = 274 + -18b + 18b Combine like terms: -18b + 18b = 0 310 + -1b = 274 + 0 310 + -1b = 274 Add '-310' to each side of the equation. 310 + -310 + -1b = 274 + -310 Combine like terms: 310 + -310 = 0 0 + -1b = 274 + -310 -1b = 274 + -310 Combine like terms: 274 + -310 = -36 -1b = -36 Divide each side by '-1'. b = 36 Simplifying b = 36
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