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Simplifying 0.3t + -0.6 = -6.2 + -0.2(3t + -10) Reorder the terms: -0.6 + 0.3t = -6.2 + -0.2(3t + -10) Reorder the terms: -0.6 + 0.3t = -6.2 + -0.2(-10 + 3t) -0.6 + 0.3t = -6.2 + (-10 * -0.2 + 3t * -0.2) -0.6 + 0.3t = -6.2 + (2 + -0.6t) Combine like terms: -6.2 + 2 = -4.2 -0.6 + 0.3t = -4.2 + -0.6t Solving -0.6 + 0.3t = -4.2 + -0.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.6t' to each side of the equation. -0.6 + 0.3t + 0.6t = -4.2 + -0.6t + 0.6t Combine like terms: 0.3t + 0.6t = 0.9t -0.6 + 0.9t = -4.2 + -0.6t + 0.6t Combine like terms: -0.6t + 0.6t = 0.0 -0.6 + 0.9t = -4.2 + 0.0 -0.6 + 0.9t = -4.2 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.9t = -4.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.9t = -4.2 + 0.6 0.9t = -4.2 + 0.6 Combine like terms: -4.2 + 0.6 = -3.6 0.9t = -3.6 Divide each side by '0.9'. t = -4 Simplifying t = -4
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