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Simplifying log[11](-2a + -2) = log[11](3a + 10) Reorder the terms: glo * 11(-2 + -2a) = log[11](3a + 10) Reorder the terms for easier multiplication: 11glo(-2 + -2a) = log[11](3a + 10) (-2 * 11glo + -2a * 11glo) = log[11](3a + 10) Reorder the terms: (-22aglo + -22glo) = log[11](3a + 10) (-22aglo + -22glo) = log[11](3a + 10) Reorder the terms: -22aglo + -22glo = glo * 11(10 + 3a) Reorder the terms for easier multiplication: -22aglo + -22glo = 11glo(10 + 3a) -22aglo + -22glo = (10 * 11glo + 3a * 11glo) Reorder the terms: -22aglo + -22glo = (33aglo + 110glo) -22aglo + -22glo = (33aglo + 110glo) Solving -22aglo + -22glo = 33aglo + 110glo Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33aglo' to each side of the equation. -22aglo + -33aglo + -22glo = 33aglo + -33aglo + 110glo Combine like terms: -22aglo + -33aglo = -55aglo -55aglo + -22glo = 33aglo + -33aglo + 110glo Combine like terms: 33aglo + -33aglo = 0 -55aglo + -22glo = 0 + 110glo -55aglo + -22glo = 110glo Add '22glo' to each side of the equation. -55aglo + -22glo + 22glo = 110glo + 22glo Combine like terms: -22glo + 22glo = 0 -55aglo + 0 = 110glo + 22glo -55aglo = 110glo + 22glo Combine like terms: 110glo + 22glo = 132glo -55aglo = 132glo Divide each side by '-55glo'. a = -2.4 Simplifying a = -2.4
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