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Simplifying 3(a + -3) + -9 = 4a + -8(a + -10) Reorder the terms: 3(-3 + a) + -9 = 4a + -8(a + -10) (-3 * 3 + a * 3) + -9 = 4a + -8(a + -10) (-9 + 3a) + -9 = 4a + -8(a + -10) Reorder the terms: -9 + -9 + 3a = 4a + -8(a + -10) Combine like terms: -9 + -9 = -18 -18 + 3a = 4a + -8(a + -10) Reorder the terms: -18 + 3a = 4a + -8(-10 + a) -18 + 3a = 4a + (-10 * -8 + a * -8) -18 + 3a = 4a + (80 + -8a) Reorder the terms: -18 + 3a = 80 + 4a + -8a Combine like terms: 4a + -8a = -4a -18 + 3a = 80 + -4a Solving -18 + 3a = 80 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -18 + 3a + 4a = 80 + -4a + 4a Combine like terms: 3a + 4a = 7a -18 + 7a = 80 + -4a + 4a Combine like terms: -4a + 4a = 0 -18 + 7a = 80 + 0 -18 + 7a = 80 Add '18' to each side of the equation. -18 + 18 + 7a = 80 + 18 Combine like terms: -18 + 18 = 0 0 + 7a = 80 + 18 7a = 80 + 18 Combine like terms: 80 + 18 = 98 7a = 98 Divide each side by '7'. a = 14 Simplifying a = 14
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