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Simplifying -0.01(5a + 4) = 0.04 + -0.01(a + 4) Reorder the terms: -0.01(4 + 5a) = 0.04 + -0.01(a + 4) (4 * -0.01 + 5a * -0.01) = 0.04 + -0.01(a + 4) (-0.04 + -0.05a) = 0.04 + -0.01(a + 4) Reorder the terms: -0.04 + -0.05a = 0.04 + -0.01(4 + a) -0.04 + -0.05a = 0.04 + (4 * -0.01 + a * -0.01) -0.04 + -0.05a = 0.04 + (-0.04 + -0.01a) Combine like terms: 0.04 + -0.04 = 0.00 -0.04 + -0.05a = 0.00 + -0.01a -0.04 + -0.05a = -0.01a Solving -0.04 + -0.05a = -0.01a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.01a' to each side of the equation. -0.04 + -0.05a + 0.01a = -0.01a + 0.01a Combine like terms: -0.05a + 0.01a = -0.04a -0.04 + -0.04a = -0.01a + 0.01a Combine like terms: -0.01a + 0.01a = 0.00 -0.04 + -0.04a = 0.00 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.04a = 0.00 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.04a = 0.00 + 0.04 -0.04a = 0.00 + 0.04 Combine like terms: 0.00 + 0.04 = 0.04 -0.04a = 0.04 Divide each side by '-0.04'. a = -1 Simplifying a = -1
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