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Simplifying 19 + -4b = -1 + -4(4b + 1) Reorder the terms: 19 + -4b = -1 + -4(1 + 4b) 19 + -4b = -1 + (1 * -4 + 4b * -4) 19 + -4b = -1 + (-4 + -16b) Combine like terms: -1 + -4 = -5 19 + -4b = -5 + -16b Solving 19 + -4b = -5 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. 19 + -4b + 16b = -5 + -16b + 16b Combine like terms: -4b + 16b = 12b 19 + 12b = -5 + -16b + 16b Combine like terms: -16b + 16b = 0 19 + 12b = -5 + 0 19 + 12b = -5 Add '-19' to each side of the equation. 19 + -19 + 12b = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 12b = -5 + -19 12b = -5 + -19 Combine like terms: -5 + -19 = -24 12b = -24 Divide each side by '12'. b = -2 Simplifying b = -2
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