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Simplifying 7(a + -3) + -1(2a + 1) = a + -2(4a + 8) Reorder the terms: 7(-3 + a) + -1(2a + 1) = a + -2(4a + 8) (-3 * 7 + a * 7) + -1(2a + 1) = a + -2(4a + 8) (-21 + 7a) + -1(2a + 1) = a + -2(4a + 8) Reorder the terms: -21 + 7a + -1(1 + 2a) = a + -2(4a + 8) -21 + 7a + (1 * -1 + 2a * -1) = a + -2(4a + 8) -21 + 7a + (-1 + -2a) = a + -2(4a + 8) Reorder the terms: -21 + -1 + 7a + -2a = a + -2(4a + 8) Combine like terms: -21 + -1 = -22 -22 + 7a + -2a = a + -2(4a + 8) Combine like terms: 7a + -2a = 5a -22 + 5a = a + -2(4a + 8) Reorder the terms: -22 + 5a = a + -2(8 + 4a) -22 + 5a = a + (8 * -2 + 4a * -2) -22 + 5a = a + (-16 + -8a) Reorder the terms: -22 + 5a = -16 + a + -8a Combine like terms: a + -8a = -7a -22 + 5a = -16 + -7a Solving -22 + 5a = -16 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -22 + 5a + 7a = -16 + -7a + 7a Combine like terms: 5a + 7a = 12a -22 + 12a = -16 + -7a + 7a Combine like terms: -7a + 7a = 0 -22 + 12a = -16 + 0 -22 + 12a = -16 Add '22' to each side of the equation. -22 + 22 + 12a = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 12a = -16 + 22 12a = -16 + 22 Combine like terms: -16 + 22 = 6 12a = 6 Divide each side by '12'. a = 0.5 Simplifying a = 0.5
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