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Simplifying 8(a + -4) + -45(a + -5) = 18(5a + 5) Reorder the terms: 8(-4 + a) + -45(a + -5) = 18(5a + 5) (-4 * 8 + a * 8) + -45(a + -5) = 18(5a + 5) (-32 + 8a) + -45(a + -5) = 18(5a + 5) Reorder the terms: -32 + 8a + -45(-5 + a) = 18(5a + 5) -32 + 8a + (-5 * -45 + a * -45) = 18(5a + 5) -32 + 8a + (225 + -45a) = 18(5a + 5) Reorder the terms: -32 + 225 + 8a + -45a = 18(5a + 5) Combine like terms: -32 + 225 = 193 193 + 8a + -45a = 18(5a + 5) Combine like terms: 8a + -45a = -37a 193 + -37a = 18(5a + 5) Reorder the terms: 193 + -37a = 18(5 + 5a) 193 + -37a = (5 * 18 + 5a * 18) 193 + -37a = (90 + 90a) Solving 193 + -37a = 90 + 90a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-90a' to each side of the equation. 193 + -37a + -90a = 90 + 90a + -90a Combine like terms: -37a + -90a = -127a 193 + -127a = 90 + 90a + -90a Combine like terms: 90a + -90a = 0 193 + -127a = 90 + 0 193 + -127a = 90 Add '-193' to each side of the equation. 193 + -193 + -127a = 90 + -193 Combine like terms: 193 + -193 = 0 0 + -127a = 90 + -193 -127a = 90 + -193 Combine like terms: 90 + -193 = -103 -127a = -103 Divide each side by '-127'. a = 0.811023622 Simplifying a = 0.811023622
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