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Simplifying 40(2a + -3) + 6 = 2(5a + 43) + 20a Reorder the terms: 40(-3 + 2a) + 6 = 2(5a + 43) + 20a (-3 * 40 + 2a * 40) + 6 = 2(5a + 43) + 20a (-120 + 80a) + 6 = 2(5a + 43) + 20a Reorder the terms: -120 + 6 + 80a = 2(5a + 43) + 20a Combine like terms: -120 + 6 = -114 -114 + 80a = 2(5a + 43) + 20a Reorder the terms: -114 + 80a = 2(43 + 5a) + 20a -114 + 80a = (43 * 2 + 5a * 2) + 20a -114 + 80a = (86 + 10a) + 20a Combine like terms: 10a + 20a = 30a -114 + 80a = 86 + 30a Solving -114 + 80a = 86 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -114 + 80a + -30a = 86 + 30a + -30a Combine like terms: 80a + -30a = 50a -114 + 50a = 86 + 30a + -30a Combine like terms: 30a + -30a = 0 -114 + 50a = 86 + 0 -114 + 50a = 86 Add '114' to each side of the equation. -114 + 114 + 50a = 86 + 114 Combine like terms: -114 + 114 = 0 0 + 50a = 86 + 114 50a = 86 + 114 Combine like terms: 86 + 114 = 200 50a = 200 Divide each side by '50'. a = 4 Simplifying a = 4
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