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Simplifying 8(a + -4) + -45(a + -5) = (5a + 5) Reorder the terms: 8(-4 + a) + -45(a + -5) = (5a + 5) (-4 * 8 + a * 8) + -45(a + -5) = (5a + 5) (-32 + 8a) + -45(a + -5) = (5a + 5) Reorder the terms: -32 + 8a + -45(-5 + a) = (5a + 5) -32 + 8a + (-5 * -45 + a * -45) = (5a + 5) -32 + 8a + (225 + -45a) = (5a + 5) Reorder the terms: -32 + 225 + 8a + -45a = (5a + 5) Combine like terms: -32 + 225 = 193 193 + 8a + -45a = (5a + 5) Combine like terms: 8a + -45a = -37a 193 + -37a = (5a + 5) Reorder the terms: 193 + -37a = (5 + 5a) Remove parenthesis around (5 + 5a) 193 + -37a = 5 + 5a Solving 193 + -37a = 5 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 193 + -37a + -5a = 5 + 5a + -5a Combine like terms: -37a + -5a = -42a 193 + -42a = 5 + 5a + -5a Combine like terms: 5a + -5a = 0 193 + -42a = 5 + 0 193 + -42a = 5 Add '-193' to each side of the equation. 193 + -193 + -42a = 5 + -193 Combine like terms: 193 + -193 = 0 0 + -42a = 5 + -193 -42a = 5 + -193 Combine like terms: 5 + -193 = -188 -42a = -188 Divide each side by '-42'. a = 4.476190476 Simplifying a = 4.476190476
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