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Simplifying 0.03a + -12 = -3(0.01a + -12) Reorder the terms: -12 + 0.03a = -3(0.01a + -12) Reorder the terms: -12 + 0.03a = -3(-12 + 0.01a) -12 + 0.03a = (-12 * -3 + 0.01a * -3) -12 + 0.03a = (36 + -0.03a) Solving -12 + 0.03a = 36 + -0.03a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.03a' to each side of the equation. -12 + 0.03a + 0.03a = 36 + -0.03a + 0.03a Combine like terms: 0.03a + 0.03a = 0.06a -12 + 0.06a = 36 + -0.03a + 0.03a Combine like terms: -0.03a + 0.03a = 0.00 -12 + 0.06a = 36 + 0.00 -12 + 0.06a = 36 Add '12' to each side of the equation. -12 + 12 + 0.06a = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 0.06a = 36 + 12 0.06a = 36 + 12 Combine like terms: 36 + 12 = 48 0.06a = 48 Divide each side by '0.06'. a = 800 Simplifying a = 800
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