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Simplifying 16(2 + -3a) + 20a = 2(1 + -1a) + -6(a + -3) (2 * 16 + -3a * 16) + 20a = 2(1 + -1a) + -6(a + -3) (32 + -48a) + 20a = 2(1 + -1a) + -6(a + -3) Combine like terms: -48a + 20a = -28a 32 + -28a = 2(1 + -1a) + -6(a + -3) 32 + -28a = (1 * 2 + -1a * 2) + -6(a + -3) 32 + -28a = (2 + -2a) + -6(a + -3) Reorder the terms: 32 + -28a = 2 + -2a + -6(-3 + a) 32 + -28a = 2 + -2a + (-3 * -6 + a * -6) 32 + -28a = 2 + -2a + (18 + -6a) Reorder the terms: 32 + -28a = 2 + 18 + -2a + -6a Combine like terms: 2 + 18 = 20 32 + -28a = 20 + -2a + -6a Combine like terms: -2a + -6a = -8a 32 + -28a = 20 + -8a Solving 32 + -28a = 20 + -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. 32 + -28a + 8a = 20 + -8a + 8a Combine like terms: -28a + 8a = -20a 32 + -20a = 20 + -8a + 8a Combine like terms: -8a + 8a = 0 32 + -20a = 20 + 0 32 + -20a = 20 Add '-32' to each side of the equation. 32 + -32 + -20a = 20 + -32 Combine like terms: 32 + -32 = 0 0 + -20a = 20 + -32 -20a = 20 + -32 Combine like terms: 20 + -32 = -12 -20a = -12 Divide each side by '-20'. a = 0.6 Simplifying a = 0.6
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