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Simplifying 8(a) + -12 = 16(a + -2) Reorder the terms: -12 + 8a = 16(a + -2) Reorder the terms: -12 + 8a = 16(-2 + a) -12 + 8a = (-2 * 16 + a * 16) -12 + 8a = (-32 + 16a) Solving -12 + 8a = -32 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. -12 + 8a + -16a = -32 + 16a + -16a Combine like terms: 8a + -16a = -8a -12 + -8a = -32 + 16a + -16a Combine like terms: 16a + -16a = 0 -12 + -8a = -32 + 0 -12 + -8a = -32 Add '12' to each side of the equation. -12 + 12 + -8a = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -8a = -32 + 12 -8a = -32 + 12 Combine like terms: -32 + 12 = -20 -8a = -20 Divide each side by '-8'. a = 2.5 Simplifying a = 2.5
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