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Simplifying -19 + 3b = 5(8b + 3) + 3 Reorder the terms: -19 + 3b = 5(3 + 8b) + 3 -19 + 3b = (3 * 5 + 8b * 5) + 3 -19 + 3b = (15 + 40b) + 3 Reorder the terms: -19 + 3b = 15 + 3 + 40b Combine like terms: 15 + 3 = 18 -19 + 3b = 18 + 40b Solving -19 + 3b = 18 + 40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-40b' to each side of the equation. -19 + 3b + -40b = 18 + 40b + -40b Combine like terms: 3b + -40b = -37b -19 + -37b = 18 + 40b + -40b Combine like terms: 40b + -40b = 0 -19 + -37b = 18 + 0 -19 + -37b = 18 Add '19' to each side of the equation. -19 + 19 + -37b = 18 + 19 Combine like terms: -19 + 19 = 0 0 + -37b = 18 + 19 -37b = 18 + 19 Combine like terms: 18 + 19 = 37 -37b = 37 Divide each side by '-37'. b = -1 Simplifying b = -1
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