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Simplifying -3(10 + 10a) + 5(a + 2a) = 4a(-2) (10 * -3 + 10a * -3) + 5(a + 2a) = 4a(-2) (-30 + -30a) + 5(a + 2a) = 4a(-2) Combine like terms: a + 2a = 3a -30 + -30a + 5(3a) = 4a(-2) Remove parenthesis around (3a) -30 + -30a + 5 * 3a = 4a(-2) Multiply 5 * 3 -30 + -30a + 15a = 4a(-2) Combine like terms: -30a + 15a = -15a -30 + -15a = 4a(-2) Reorder the terms for easier multiplication: -30 + -15a = 4 * -2a Multiply 4 * -2 -30 + -15a = -8a Solving -30 + -15a = -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -30 + -15a + 8a = -8a + 8a Combine like terms: -15a + 8a = -7a -30 + -7a = -8a + 8a Combine like terms: -8a + 8a = 0 -30 + -7a = 0 Add '30' to each side of the equation. -30 + 30 + -7a = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -7a = 0 + 30 -7a = 0 + 30 Combine like terms: 0 + 30 = 30 -7a = 30 Divide each side by '-7'. a = -4.285714286 Simplifying a = -4.285714286
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